P.V. Rao, University of Florida

A Proportional Hazards Model with Informative Censoring

A proportional hazards model is proposed for incorporating informatively as well as randomly censored times to two types of events -- a primary event and a followup event. The proposed model treats informative censoring as a type of risk in a competing risks setup and incorporates suitable parameters to describe the conditional probability of failure given the subject is not informatively censored. Inferences about the parameters in the model can be based on standard partial likelihood theory. The use of the model will be demonstrated by anlyzing some data on waiting time to bone marrow transplantation (primary event) and time to relapse or death after transplantation (followup event) for leukemia patients.